Mary had $305 in her bank account. She deposited $250.25 more and then withdrew $317.50
from her account. What is the balance now in her account?

9514 1404 393

Answer:

  41 km

Step-by-step explanation:

The first car is 32.5 km north after 1/2 hour. The second car is 25 km east after 1/2 hour. The Pythagorean theorem tells you the straight-line distance between them:

  d = √(32.5² +25²) = √1681.25 ≈ 41.00

The cars are about 41 km apart after 1/2 hour.

Answer:

https://wb-qb-sg-oss.bytededu.com/mars_api/516070e015af3cbddbf0c9527d422fd6/1624892212752.jpeg!content

Step-by-step explanation:

If the section is created by slicing the equation 2x² + 2xy + 5y² + 6x - 4y = 40 at 45°. Then the conic will be an ellipse.

A figure made up of a surface and a round cone intersecting. A conic section can be a circle, an ellipse, a parabola, or a hyperbola, based on the direction of the plane with regard to the cone.

The angle θ is 45° and the equation is 2x² + 2xy + 5y² + 6x - 4y = 40.

Then x will be

[tex]\rm x = x' \cos \theta - y' \sin \theta\\\\x = x' \cos 45- y' \sin 45\\\\x = \dfrac{x' - y'}{\sqrt2}[/tex]

Then y will be

[tex]\rm y = x' \sin \theta + y' \cos \theta\\\\y= x' \sin 45 + y' \cos 45\\\\y = \dfrac{x' + y'}{\sqrt2}[/tex]

Put these in the equation we have

[tex]\rm 2\left ( \dfrac{x' - y'}{\sqrt2} \right )^2 + 2\left ( \dfrac{x' - y'}{\sqrt2} \right )\left ( \dfrac{x' + y'}{\sqrt2} \right ) + 5 \left ( \dfrac{x' + y'}{\sqrt2} \right )^2+ 6\left ( \dfrac{x' - y'}{\sqrt2} \right ) - 4\left ( \dfrac{x' + y'}{\sqrt2} \right ) = 40[/tex]

On simplifying, we have

[tex]\rm 9x'^2 + 6x'y' + 5y'^2 + 10\sqrt2x' - 10 \sqrt2 y' - 80=0[/tex]

Then the value of a, b, and c will be

a = 2, b = 2, and c = 5

Then we have

[tex]\rm b^2 - 4ac = 2^2 - 4\times 2 \times 5 = 4 - 20 = -16[/tex]

Then b² - 4ac < 0, then the conic is ellipse.

More about the conic section link is given below.

https://brainly.com/question/10311514

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Answer:

36 = one half x + 12

Step-by-step explanation:

let : Francesca's times = x

according to the text, we can make the equation :

12 + (one half) x = 36

or 36 = one half x + 12

The equation for the given situation is 36=1/2 x+12. Therefore, option D is the correct answer.

Given that, Riley's commute on the train takes 12 minutes more than one-half as many minutes as Francesca's commute by car. It takes Riley 36 minutes to get to work.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the time taken by  Francesca's commute by car be x.

Now, 12 minutes more than one-half=1/2 x+12

According to the question, 36=1/2 x+12

The equation for the given situation is 36=1/2 x+12. Therefore, option D is the correct answer.

To learn more about an equation visit:

https://brainly.com/question/11837450.

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Answer:

The first number: 11;

The second number: 22;

The third number: 33

Step-by-step explanation:

The first number: 11

The second number: 11 x 2 = 22

The third number: 11 x 3 = 33

11 + 22 + 33 = 66

Answer:

11 and 22

Step-by-step explanation:

let the first number ne x then second is 2x and third is 3x and sum is

x + 2x + 3x = 66 , that is

6x = 66 ( divide both sides by 6 )

x = 11

2x = 2 × 11 = 22

first number is 11 and second number is 22

0.008

1/5 x 1/5 x 1/5

Answer:

No. Only positive whole integers are considered natural numbers

Answer:

if you scored a 83 on every test in a class your standard deviation would be 0. The point is that the bigger the standard deviation the more "variation" you will find in the raw numbers.... "D" (international equities) is the answer to this question...

it has the highest percent for the standard deviation, this it is the

MOST IN-COSISTENT

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

by adding 8 in both sides, we get

Hence -8 and +8 cancel each other and we get,

I hope it helped U

I hope it helped Ustay safe stay happy

9514 1404 393

Answer:

  20 years

Step-by-step explanation:

The interest earned is found using the formula ...

  I = Prt

where principal P is invested at rate r for t years. Solving for t, we find ...

  t = I/(Pr) = $900/($1500×0.03) = 900/45

  t = 20

You must leave the money in the account for 20 years to earn $900 in interest.

Answer:

90°

Step-by-step explanation:

diagonals of a kite intersect each other at 90°

:)

ANSWER :

third option 90 degrees

Step-by-step explanation:

the opossite adjasent angle is 1 that is 90 so angle 3 is opposite adjacent angle of angle 1

*The opposite adjacent angles will always be same

Answer:

113385908

Step-by-step explanation:

use:

Brackets

Indices

Division

Multiplication

Addition

Subtraction

[(66+11)2-6]×766 121

First Brackets

66+11=77

[(77)2-6]×766121

Multiplication:

77×2=154

[154-6]×766121

Subtraction:

154-6=148

Multiplication:

148×766121= 113385908

We have to find integration of f(x) having upper limit 1.05 and lower limit 1

[tex]\\ \rm\longmapsto \displaystyle{\int^{1.05}_1}x^3dx[/tex]

[tex]\\ \rm\longmapsto \left[\dfrac{3x^{3+1}}{3+1}\right]^{1.05}_1[/tex]

[tex]\\ \rm\longmapsto \left[\dfrac{3x^4}{4}\right]^{1.05}_1[/tex]

[tex]\\ \rm\longmapsto \dfrac{3(1.05)^4-3(1)^4}{4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{3(1.2)-3(1)}{4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{3.6-3}{4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{0.6}{4}[/tex]

[tex]\\ \rm\longmapsto 2.4[/tex]

but there have given the formula of g(x) and f(x) ,put it

Answer:

x = 28

Step-by-step explanation:

Equation:-

1/2(x) = 14

Multiplying by 2 on both sides,

=> x = 28

Step-by-step explanation:

they are all just trignometric formulas

Interest for 1 year=12.3℅

Interest for 12months=12.3℅

[tex]\\ \qquad\quad\sf\longmapsto Interest\:for\:one\:Month[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{12.3}{12}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 1.025\℅[/tex]

Answer:

13

Step-by-step explanation:

The midpoint is 1/2 way between points A and B

(A+B)/2 = (0+26)/2 = 26/2 = 13

Answer:

A 8.5 pints

Step-by-step explanation:

Answer:

.7

Step-by-step explanation:

On a number line the further you go to the right the higher the number. Thus .7 is larger than .5.

HOPE THIS HELPED

Answer:

.5

Step-by-step explanation:

the bigger the number the smaller the number

the answer is 5

Answer:

Step-by-step explanation:

f: s*2s = 2s^2

o: s*7 = 7s

i: -5*2s = -10s

L: -5*7 = - 35

Combine

2s^2 - 3s - 35

Answer:

A constant or the product of a constant and one or more variables is called a coefficient.

Answer:

7.   0.37

Decimal value is  - HUNDREDTHS

Fraction value is - [tex]\frac{37}{100}[/tex]

    1.735

Decimal value is  -  TENTHS

Fraction value is - [tex]\frac{1735}{1000}[/tex]

8.   6.075

Decimal value is  - HUNDREDTHS

Fraction value is - [tex]\frac{6075}{1000}[/tex]

      27.05

Decimal value is  - ONES

Fraction value is -  [tex]\frac{2705}{100}[/tex]

9.    0.127

Decimal value is  - THOUSANDTHS

Fraction value is - [tex]\frac{127}{1000}[/tex]

    3.007

Decimal value is  - THOUSANDTHS

Fraction value is - [tex]\frac{3007}{1000}[/tex]

Answer:

Step-by-step explanation:

2 × (3 – 1) + 3 (First Brackets)

= 2 × 2 + 3 (Second Multiplication )

= 4 + 3 (At last add)

= 7 (Ans)